The LSGF G(0,L) in this equation reduces smoothly and automatically to the CGF for large enough x as terms O(1/x⁴) become gradually small and negligible. This ensures the seamless linkage of the atomistic length scale to the macroscopic continuum scale.

Equations (8) and (9) along with the limiting relation given by Eq. (11), form the basic equations for the MSGF. Equation (9) gives the LSGF, which is valid at the atomistic scales and Eq. (11) relates it to the CGF, which is valid